Preheat oven to 425F and line a baking sheet with parchment paper.
To make the flatbread crust, mix all of the dry ingredients in a bowl. Add the yogurt and use a wooden spoon to mix well. The dough will be shaggy and sticky. Transfer to a well floured surface and sprinkle with some flour. Fold the dough in on itself a few times and then form into a ball. Place the ball onto the parchment paper lined baking sheet and pressing down with your hands, shape it into a rectangle about 1/4" thick. Brush with olive oil. Bake in the oven for 13 minutes or until a nice golden brown. Let cool.
Meanwhile, bring a pot of water to a boil and add the 2 eggs. Boil for 7 minutes. Remove and place in an icebath to cool.
In a bowl, mix the cream cheese with lemon juice. Spread it over the cooled flatbread, leaving a 1/2 inch border around the edges.
Spread slices of smoked salmon evenly over pizza. Sprinkle with the sliced cherry tomatoes, red onion, capers, and fresh dill.
Peel and slice eggs into quarters. Spread over the flatbread. Sprinkle with salt, pepper and everything bagel spice. Serve with lemon slices.